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The number of non-negative integer solutions of the equation x + y + z = 10 is

1523Medium DSSSB TGT Computer Science 0 replies 1 views
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The number of non-negative integer solutions of the equation x + y + z = 10 is

  • A55
  • B78
  • C66
  • D120
Correct answer: C

Explanation

By stars and bars the number of solutions is C(10 + 3 − 1, 3 − 1) = C(12, 2) = 66.

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